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Appears in collection : Logarithmic and non-archimedean methods in Singularity Theory - Thematic Month Week 1 / Méthodes logarithmiques et non-archimédiennes en théorie des singularités - Mois thématique semaine 1

We will introduce a new class of singularities, Teissier singularities, which are particularly significant in positive characteristics. We will explain why these singularities are candidates to play, in positive characteristics, a role similar to that played by quasi-ordinary singularities in the Jungian approach to the resolution of singularities in characteristic zero. Joint work with Bernd Schober.

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  • MOURTADA, Hussein et SCHOBER, Bernd.. On the notion of quasi-ordinary singularities in positive characteristics: Teissier singularities and their resolution. (In preparation.)
  • MOURTADA, Hussein et SCHOBER, Bernd.. Teissier singularities,arXiv preprint arXiv:2502.01239, 2025 - https://doi.org/10.48550/arXiv.2502.01239
  • MOURTADA, Hussein et SCHOBER, Bernd. A polyhedral characterization of quasi-ordinary singularities. Mosc. Math. J., 18:4 (2018), 755–785 - https://doi.org/10.17323/1609-4514-2018-18-4-755-785

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